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Finding the Third Proportional to 1,949,278.50 and 3,029,946.75

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Solution

The third proportional to 1,949,278.50 and 3,029,946.75 is: 4,709,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,278.50 : 3,029,946.75 = 3,029,946.75 : x
  2. Step 2: Convert to fraction form
    1,949,278.50/3,029,946.75 = 3,029,946.75/x
  3. Step 3: Cross multiply
    1,949,278.50x = 3,029,946.75 × 3,029,946.75
  4. Step 4: Simplify right side
    1,949,278.50x = 9,180,577,307,835.56
  5. Step 5: Solve for x
    x = 9,180,577,307,835.56/1,949,278.50
  6. Step 6: Final answer
    x = 4,709,730.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.